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Finding the Fourth Proportional to 627,136.20, 865,807.02 and 412,899

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Solution

The fourth proportional to 627,136.20, 865,807.02 and 412,899 is: 570,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,136.20 : 865,807.02 = 412,899 : x
  2. Step 2: Convert to fraction form
    627,136.20/865,807.02 = 412,899/x
  3. Step 3: Cross multiply
    627,136.20x = 865,807.02 × 412,899
  4. Step 4: Simplify right side
    627,136.20x = 357,490,852,750.98
  5. Step 5: Solve for x
    x = 357,490,852,750.98/627,136.20
  6. Step 6: Final answer
    x = 570,037.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.